rahul and kunal have some marbles with them. if Rahul takes 6 marbles from Kunal, the number of marbles with both of them would be equal. instead if kunal takes 1 marble from Rahul, Kunal would have twice the number of marbles as Rahul would have. what is the total number of marbles with them?
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3
Answer:
Rahul has 15 marbles and Kunal has 27 marbles
Step-by-step explanation:
Let Rahul has x marbles and Kunal has y marbles
If Rahul takes 6 marbles from Kunal then y - 6 = x + 6
x - y + 12 = 0 ........ (1)
If Kunal takes one marble from Rahul, Kunal would have twice the marbles as Rahul :
y + 1 = 2·(x - 1)
⇒ 2·x - y - 3 = 0............. (2)
From (1) we have x = y - 12 .......(3)
Substituting x = y - 12 in (2)
⇒ 2·( y - 12 ) - y -3 = 0
⇒ y = 27
Putting this value in (3)
⇒ x = y - 12
⇒ x = 27 - 12
⇒ x = 15
So, Rahul has 15 marbles and Kunal has 27 marbles
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Answer:
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